Question

Find the resonance frequency in the given circuit:

• A. $\frac{1}{\sqrt{LC}}$
• B. $\frac{2}{\sqrt{LC}}$
• C. $\frac{1}{2\sqrt{LC}}$
• D. $\frac{4}{\sqrt{LC}}$

Answer 1

Answer: (A)

After simplifying the circuit, we get,
$L_{eq}=\frac{L.L}{L+L}=\frac{L}{2}$
$C_{eq}=C+C=2C$
Resonance frequency
$\omega =\frac{1}{\sqrt{L_{eq}{C}_{eq}}}$
$\omega =\frac{1}{\sqrt{\frac{L}{2}2C}}=\frac{1}{\sqrt{LC}}$